Impulsive Control of the Spread of Worms

A SIR epidemic model with dynamic input-output property is presented. The dynamics of this model under pulse control are analyzed which we referred to as the Worms Propagation with Impulsive Control (WPIC) model. For the WPIC model we established the conditions and threshold to the existence of the disease-free T-Periodic solution and proved that the disease-free T-Periodic solution is globally asymptotically stable.